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leonid [27]
3 years ago
15

2/7x+1/2x=40/7-1/6x solve for x

Mathematics
1 answer:
torisob [31]3 years ago
8 0

Answer:

Keeping in mind the 'x' is in numerator, i got the answer to be 6.

Step-by-step explanation:

2/7x + 1/2x = 40/7 - 1/6x

2/7x + 1/2x + 1/6x = 40/7

2/7x + (3+1)/6x = 40/7

2/7x + 4/6x = 40/7

2/7x + 2/3x = 40/7

(2*3)+(2*7) / (7*3)x = 40/7

(6+14) / 21x = 40/7

20/21x = 40/7

20x = 40*21/7

20x = 40*3

x = 40*3 /20

x = 2*3

x=6

You might be interested in
Phyllis invested 50000 dollars, a portion earning a simple interest rate of 5 percent per year and the rest earning a rate of 7
Elodia [21]

Answer:

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

Let

x-----> the amount invested at 5%

50,000-x -----> the amount invested at 7%

so

t=1\ year\\ I=\$2,720\\r_1=0.05\\r_2=0.07\\P_1=\$x\\P_2=\$(50,000-x)

substitute in the formula above

2,720=x(0.05*1)+(50,000-x)(0.07*1)

solve for x

2,720=0.05x+3,500-0.07x

0.07x-0.05x=3,500-2,720\\0.02x=780\\x=\$39,000

(50,000-x)=\$11,000

therefore

The amount invested at 5% was $39,000 and the amount invested at 7% was $11,000

5 0
4 years ago
How to Divide 80 into the given Fractions
Virty [35]
7/10 of 80 is 56
4/5 of 80 is 64
3/4 of 80 is 60
5/8 of 80 is 50
1/2 of 80 is 40
1/4 of 80 is 20
1/10 of 80 is 8
1/8 of 80 is 10

to work these out divide the number by the denominator (bottom number) and multiply by the numerator (top number)
4 0
4 years ago
Find the area of the shaded region. round answers to the nearest tenth. assume all inscribed polygons are regular. 29.3 units2
FromTheMoon [43]
The picture in the attached figure

we know that
the area of the shaded region is equal to
(2/3)*[area of the circle - the area of the triangle]  

step 1
Find the area of a circle Ac
Ac = π r²
Ac = π (6)²
Ac = 113.10 units²

step 2
find the area of the triangle At
The triangle is an equilateral triangle with angles on each corner equal to 60 degrees. Meanwhile,
the 3 angles at the center is 120 degrees each since a circle is 360 degree.
 We know that the radius (line from centerpoint to corner) is equivalent to 6.
Using the cosine law,
we can calculate for the length of one side.
s² = 6^ + 6² – 2 (6) (6) cos 120
s² = 108
s = 10.4 units
Since this is an equilateral triangle, therefore, all sides are equal.
The area for this is:
At = (sqrt3 / 4) * s²
At = 46.77 units²

step 3
the area of the shaded region=(2/3)*[area of the circle - the area of the triangle]  
the area of the shaded region=(2/3)*[113.10-46.77]------> 44.22 units²

therefore

the answer is
the area of the shaded region is 44.22 units²


5 0
3 years ago
The probability of an event happening is 5/9 what are the odds in favor of the event happening
rosijanka [135]

Answer:

5/9

Step-by-step explanation:

it's literally telling you the answer and asking you

If they want the odds in favor then it's the odds of the event happening

7 0
3 years ago
What is the explicit formula for the arithmetic sequence 2, 7, 12, 17,
Ray Of Light [21]

Answer:

x + 5

Step-by-step explanation:

Every time it goes up by a factor of 5

Tell me I am wrong.

Can I get brainliest

4 0
4 years ago
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